3 papers
math.CO2025
Penny graphs in the hyperbolic plane
Ádám Sagmeister, Konrad J. Swanepoel
We consider the problem of finding the maximum number of pairs of touching circles in a packing of congruent circles of diameter in the hyperbolic plane of curvatu…
math.MG2025
John Ellipsoids of Revolution
Grigory Ivanov, Zsolt Lángi, Márton Naszódi +1
Finding a largest Euclidean ball in a given convex body and finding a largest volume ellipsoid in are two problems of fundamentally different nature. T…
math.MG2018
The isodiametric problem on the sphere and in the hypebolic space
Károly J. Böröczky, Ádám Sagmeister
We prove the isodiametric inequality in the spherical and in the hyperbolic space